4.5 Article

Upper bounds for the number of solutions of a diophantine equation

Journal

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 357, Issue 6, Pages 2527-2534

Publisher

AMER MATHEMATICAL SOC
DOI: 10.1090/S0002-9947-04-03611-6

Keywords

diophantine equation; Karatsuba's theorem; Konyagin's estimate

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We give upper bound estimates for the number of solutions of a certain diophantine equation. Our results can be applied to obtain new lower bound estimates for the L(1)- norm of certain exponential sums.

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